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Finding the Fourth Proportional to 2,234.40, 3,351.44 and 847.68

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Solution

The fourth proportional to 2,234.40, 3,351.44 and 847.68 is: 1,271.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.40 : 3,351.44 = 847.68 : x
  2. Step 2: Convert to fraction form
    2,234.40/3,351.44 = 847.68/x
  3. Step 3: Cross multiply
    2,234.40x = 3,351.44 × 847.68
  4. Step 4: Simplify right side
    2,234.40x = 2,840,948.66
  5. Step 5: Solve for x
    x = 2,840,948.66/2,234.40
  6. Step 6: Final answer
    x = 1,271.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.